91Ó°ÊÓ

In the following exercises, solve each equation.

$\ln \left(e^{5x}\right)=30$.

In the following exercises, solve each equation.

$\ln \left(e^{6x}\right)=18.$

In the following exercises, solve each equation.

$3\log \left(x\right)=\log \left(125\right)$.

In the following exercises, solve each equation.

$7{\log }_3\left(x\right)={\log }_3\left(128\right)$.

In the following exercises, solve each equation.

${\log }_6\left(x\right)+{\log }_6\left(x-5\right)=24$.

In the following exercises, solve each equation.

${\log }_9\left(x\right)+{\log }_9\left(x-4\right)=12$.

In the following exercises, solve each equation.

${\log }_2\left(x+2\right)-{\log }_9\left(2x+9\right)=-{\log }_2\left(x\right)$.

In the following exercises, solve each equation.

${\log }_6(x+1)-{\log }_6(4x+10)={\log }_6\frac{1}{x}$

In the following exercises, determine whether or not the given functions are inverses.
$f\left(x\right)=\frac{x}{11}andg\left(x\right)=11x$

In the following exercises, solve for $x$, giving an exact answer as well as an approximation to three decimal places.

$6^x=91$